This paper deals with vector optimization problems having a vector valued objective function and three kinds of constraints: inequality constraints, equality constraints and a set constraint (which covers the constraints which cannot be expressed by means of neither equalities nor inequalities). Necessary optimality conditions in the image space are known for these problems, as well as less general necessary optimality conditions in the decision space. The aim of this paper is to deep on the study of the necessary optimality conditions in the decision space, characterizing them in the image space and hence determining the additional assumption required to commute a condition in the image space to one in the decision space. Such a kind of assumptions are called U-regularity conditions; several U-regularity conditions are provided and the obtained results are compared with the ones already known in the literature.
Developments on U-regularity conditions
CAMBINI, RICCARDO
2002-01-01
Abstract
This paper deals with vector optimization problems having a vector valued objective function and three kinds of constraints: inequality constraints, equality constraints and a set constraint (which covers the constraints which cannot be expressed by means of neither equalities nor inequalities). Necessary optimality conditions in the image space are known for these problems, as well as less general necessary optimality conditions in the decision space. The aim of this paper is to deep on the study of the necessary optimality conditions in the decision space, characterizing them in the image space and hence determining the additional assumption required to commute a condition in the image space to one in the decision space. Such a kind of assumptions are called U-regularity conditions; several U-regularity conditions are provided and the obtained results are compared with the ones already known in the literature.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
